Counting $2\times2$ integer matrices with fixed trace and determinant
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912061931388928 |
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| author | Guria, Rachita |
| author_facet | Guria, Rachita |
| contents | We count with a smooth weight the number of $2 \times 2$ integer matrices with a fixed characteristic polynomial with a main term and an error term using bounds for sums of Weyl sums for quadratic roots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04632 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Counting $2\times2$ integer matrices with fixed trace and determinant Guria, Rachita Number Theory We count with a smooth weight the number of $2 \times 2$ integer matrices with a fixed characteristic polynomial with a main term and an error term using bounds for sums of Weyl sums for quadratic roots. |
| title | Counting $2\times2$ integer matrices with fixed trace and determinant |
| topic | Number Theory |
| url | https://arxiv.org/abs/2410.04632 |